Currently, no Chegg free trial is available for new customers but you can get the free services on Chegg occasionally. This needs a simple sign up on Chegg:
Go to Chegg website on browser.
Hit the "Get Started” button.
Put in your email Id & Password.
Select the "New Account" button.
Then, choose a Chegg Plan. Complete Payment details in the page.
Important: With use of Coupon Code you can avail discount on the Chegg's services.